On Friction Damping Modeling Using Bilinear Hysteresis Elements
Massless bilinear hysteresis elements are often used to model frictional energy dissipation in dynamic systems. These quasi-static elements possess only two describing parameters, the damper stiffness and the force at which it slips. Bilinear hysteresis elements capture the qualitative nature of friction-damped forced response, but sometimes have ...
E. J. Berger, C. M. Krousgrill
semanticscholar +3 more sources
The Response of an Oscillator With Bilinear Hysteresis to Stationary Random Excitation
By applying the technique of stochastic averaging, a simple analytical result is obtained for the joint distribution of the displacement and velocity of a bilinear oscillator excited by a stationary random process. A comparison of theoretical results deduced from this distribution with corresponding digital simulation results shows that the theory is ...
J. B. Roberts
semanticscholar +3 more sources
Capability for Growth in Nonlinear Response of SDOF With Bilinear Hysteresis
To approximate nonlinear response of structures subjected to an earthquake excitation, the displacement method in U.S. or the energy method in Japan has been practically used. However, unless these methods include the nature of dynamics of nonlinear structure well, the nonlinear response is not adequately calculated.
Tomoyo Taniguchi
semanticscholar +3 more sources
Stationary and non-stationary random vibration of oscillators with bilinear hysteresis
The path integral solution (PIS) technique has been applied to calculate the response statistics of a white noise excited oscillator with bilinear hysteresis. It is shown that the PIS method provides an interesting alternative for investigating the random vibration of hysteretic oscillators. Computational aspects of the application of the PIS technique
Naess, A., Moe, V.
semanticscholar +4 more sources
Nonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitation
The authors investigate the transient and steady-state response of an oscillator with hysteretic restoring force and sinusoidal excitation. Hysteresis is modeled by using the bilinear model of Caughey with a hybrid system formulation. Stability and bifurcations of periodic orbits are studied using Poincaré maps.
Kalmár-Nagy, Tamás, Shekhawat, Ashivni
semanticscholar +4 more sources
Forced Oscillations of a Semi-Infinite Rod Exhibiting Weak Bilinear Hysteresis
A first-order nonlinear solution is presented for the problem of forced sinusoidal oscillations of a semi-infinite bar exhibiting weak bilinear hysteresis.
T. K. Caughey
semanticscholar +4 more sources
Parametric resonance of a single-degree-of-freedom system with double bilinear hysteresis
Abstract A simple pendulum with a hinge of double bilinear hysteretic restraining moment-rotation characteristic under parametric excitation is studied. In contrast with a linear system with viscous damping, a double bilinear hysteretic system leads, in general, to finite response under parametric resonance.
Asmis, K. G., Tso, W. K.
semanticscholar +3 more sources
Vibration of Frame Foundation With Bilinear Hysteresis for Rotating Machinery
The vibration of a single-story frame with bilinear hysteresis supporting a rotating machine is analyzed. The excitation force caused by the rotating unbalanced mass of the machine has a frequency dependent amplitude. The bilinear hysteresis of the resisting force of the frame to the motion is derived from the bilinear moment-curvature relationship of ...
S. L. Lee, G. Tan, P. Karasudhi
semanticscholar +3 more sources
The Bilinear Product Model of Hysteresis Phenomena
In ferromagnetic materials non-reversible magnetization processes are represented by rather complex hysteresis curves. The phenomenological description of such curves needs the use of multi-valued, yet unambiguous, deterministic functions. The history dependent calculation of consecutive Everett-integrals of the two-variable Preisach-function can ...
György Kádár
semanticscholar +3 more sources
Nonstationary Response of Oscillators with Bilinear Hysteresis to Random Excitation
J. B. Roberts, A. H. Sadeghi
semanticscholar +3 more sources

